1001142204321 has 32 divisors (see below), whose sum is σ = 1591969167360. Its totient is φ = 547176921984.

The previous prime is 1001142204299. The next prime is 1001142204323. The reversal of 1001142204321 is 1234022411001.

It is not a de Polignac number, because 1001142204321 - 2⁵ = 1001142204289 is a prime.

It is a super-2 number, since 2×1001142204321² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1001142204323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10277581 + ... + 10374533.

It is an arithmetic number, because the mean of its divisors is an integer number (49749036480).

Almost surely, 2^{1001142204321} is an apocalyptic number.

It is an amenable number.

1001142204321 is a deficient number, since it is larger than the sum of its proper divisors (590826963039).

1001142204321 is a wasteful number, since it uses less digits than its factorization.

1001142204321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118365.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1001142204321 its reverse (1234022411001), we get a palindrome (2235164615322).

The spelling of 1001142204321 in words is "one trillion, one billion, one hundred forty-two million, two hundred four thousand, three hundred twenty-one".